Question

The difference of three seventh of a number from five seventh of that same
number is 100, then find the number​

Answer 1

$\textsf{Let the required number be x}$

$\underline{\textsf{Given:}}$

$\mathsf{\dfrac{5x}{7}-\dfrac{3x}{7}=100}$

$\underline{\textsf{To find:}}$

$\textsf{The number}$

$\underline{\textsf{Solution:}}$

$\textsf{As per given data,}$

$\mathsf{\dfrac{5x}{7}-\dfrac{3x}{7}=100}$

$\implies\mathsf{\dfrac{5x-3x}{7}=100}$

$\implies\mathsf{\dfrac{2x}{7}=100}$

$\implies\mathsf{\dfrac{x}{7}=50}$

$\implies\mathsf{x=7{\times}50}$

$\implies\boxed{\mathsf{x=350}}$

$\underline{\textsf{Answer:}}$

$\textsf{The required number is 350}$

Answer 2

ANSWER✔

$\large\underline\bold{GIVEN,}$

• the difference of three seventh of a number five seventh of a number of that sum is 100

$\sf\therefore\text{ let the number be x .}$

EQUATION FORMED IS,

$\sf \:\:\:\: \therefore \:\:\: x \times \dfrac{ 5}{7}+ x \times \dfrac{ 3}{7} = 100$

$\large\underline\bold{TO\:FIND,}$

$\sf\dashrightarrow \text{ THE NUMBER .}$

$\large\underline\bold{SOLUTION,}$

$\sf\therefore\text{ solving the equation formed,}$

$\sf\dashrightarrow x \times \dfrac{ 5}{7}+ x \times \dfrac{ 3}{7} = 100$

$\sf\implies \dfrac{5x}{7} + \dfrac{3x}{7}=100$

$\sf\implies \dfrac{5x-3x}{7} =100$

$\sf\implies \dfrac{2x}{7}= 100$

$\sf\implies 2x=100 \times 7$

$\sf\implies 2x=700$

$\sf\implies x= \dfrac{700}{2}$

$\sf\implies x= \cancel \dfrac{700}{2}$

$\sf\implies x= 350$

$\large{\boxed{\bf{ \star\:\: the\:number(x)=350\:\: \star}}}$

$\large\underline\bold{THE\:NUMBER\:IS\:350.}$

________________